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Finding the Fourth Proportional to 872.71, 1,203.92 and 578.23

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Solution

The fourth proportional to 872.71, 1,203.92 and 578.23 is: 797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.71 : 1,203.92 = 578.23 : x
  2. Step 2: Convert to fraction form
    872.71/1,203.92 = 578.23/x
  3. Step 3: Cross multiply
    872.71x = 1,203.92 × 578.23
  4. Step 4: Simplify right side
    872.71x = 696,133.75
  5. Step 5: Solve for x
    x = 696,133.75/872.71
  6. Step 6: Final answer
    x = 797.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.